1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scoundrel [369]
2 years ago
12

How do i simplify this

Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{3^4}{3^6} \right)^2\implies \left( \cfrac{3^{4\cdot 2}}{3^{6\cdot 2}} \right)\implies \cfrac{3^8}{3^{12}}\implies \cfrac{1}{3^{12}\cdot 3^{-8}}\implies \cfrac{1}{3^{12-8}}\implies \cfrac{1}{3^4}\implies \cfrac{1}{81}

You might be interested in
The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?
fredd [130]

Answer:

The center of the circle is midpoint of the diameter:

The radius is equal the distance between C and Q:

An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center

r - a radius

r = √65; (-3; 2) ⇒ a = -3 and b = 2

subtitute

(x - (-3))² + (y - 2)² = (√65)²

Answer:

the center: (-3; 2)

the radius: √65

the equation of the circle: (x + 3)² + (y - 2)² = 65

3 0
3 years ago
Read 2 more answers
I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!
IgorLugansk [536]

Answer:

Step-by-step explanation:bjgnjfvnifcb

7 0
3 years ago
Read 2 more answers
Solve the compound inequality 6b < 36 or 2b + 12 > 6.
Ne4ueva [31]

The solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3

<h3>How to solve the compound inequality?</h3>

The compound inequality is given as:

6b < 36 or 2b + 12 > 6

Evaluate the like terms in the individual inequalities

6b < 36 or 2b > -6

Divide the individual inequalities by the coefficients of b

b < 6 or b > -3

Hence, the solution to the compound inequality given as 6b < 36 or 2b + 12 > 6 is b < 6 or b > -3

Read more about compound inequality at

brainly.com/question/1485854


#SPJ1

5 0
1 year ago
If there are 40 boys and 20 girls in a room, fill out all possible ratios of boys to girls that could be made.
marysya [2.9K]

Answer:


Step-by-step explanation:

A ratio compares two quantities in terms of multiplication. For example, suppose that there are 10 boys and 15 girls in a classroom. One way, not using ratios, to compare these quantities would be to say that there are 5 more girls than boys in the classroom. To employ a ratio, we say that the ratio of boys to girls is 10 to 15, or 2 to 3. In other words, for every 2 boys in the classroom, there are 3 girls.


In your case, for every 40 boys, there are 20 girls. if we simplify this all the way down, we can get 2 to 1.

All of the following are ratios that apply to your question:

40 to 20

20 to 10

10 to 5

4 to 2

2 to 1

I hope I helped you out! <3

7 0
3 years ago
Read 2 more answers
Here is a list of numbers: <br> 5, 4, 11, 9, 5, 19, 17 ,15 ,6 ,16 <br> State the median.
Anastaziya [24]

Answer:

(9+11)/2 = 10

Step-by-step explanation:

The value in a set which is most close to the middle of a range.

3 0
3 years ago
Other questions:
  • 7gallons to 32quarts as a fraction in the simplest form
    11·2 answers
  • What are factor pairs of 65
    7·2 answers
  • Wade and Alexandra are 240 feet apart when they start walking toward one another. Alexandra walks twice as fast as Wade so whene
    11·2 answers
  • I need help on problem number 12 and 14 plzzzz
    8·1 answer
  • Bill owns a company (Bill’s Gates) that manufactures fence panels. Bill’s Gates had a net profit margin last quarter of 18%. Whi
    5·2 answers
  • A rectangle has a height of 5 and a width of 4x2– 2x - 6.
    6·1 answer
  • What is the perimeter<br><br><br> This Pythagorean theorem
    13·1 answer
  • You and a friend are buying lemons and sugar for a lemonade stand. You spend ​$14.45 to buy lemons and your friend spends ​$8.85
    8·2 answers
  • What is 10 1/3 in decimal form?
    11·1 answer
  • If (1, 0) is an ordered pair of the function F(x), which of the following is an
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!